Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges, and if so find its limit. If the sequence diverges, indicate that using the checkbox. (V2 – V12), (V3 – V13), (VA – V14), . - -
Q: The point P (2,1) lies on the ellipse 5æ²+ 6y? = c. Determine the value of c and write the point-slo...
A:
Q: find as xm Plotes of the following carre then graß h them X-4
A: Given query is to find the asymptotes and the graph of the curve
Q: 6. State the quadrant bearing and true bearing of the vector shown: Quadrant Bearing 25 W + E True B...
A:
Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...
A:
Q: (-1)" - 1 6" n = 1 3
A:
Q: Use the formula for the binomial series: (1 + x)" = т(т-1) 2 2! m(m–1).-(m-k+I),k + + 1+ mx + %3D .....
A: The maclaurin series for 1+x7
Q: Compute the work required to stretch a spring from equilibrium to 8 cm past equilibrium, assuming th...
A:
Q: Find dY at x = -1ifY zu%5V=4 3. and u= X²+ X
A: Given that y=u3+5u-4 and u=x2+x We need to find dydx at x=-1 Take y=u3+5u-4 Substitute "u" ⇒y=(x2+x...
Q: The derivative of the function y = x(tan-'(3x))² is: y' tan (3x) 6x + (1+9x²) tan-³(3x)] tan (3x)[6x...
A: y = x(tan-(3x))2 dy/dx = (dx/dx)(tan-(3x))2 + x(2(tan-(3x))(3))/((3x)2 +1) dy/dx = tan-(3x))2 + 6x(t...
Q: If Q = 10F* – -+ F3 + 3F2, then find Q""(2).
A:
Q: Find an equation of the tangent line to the graph of the function at a given point. Note: do not use...
A: Solution :we know that equation of tangent at a,b with slope dydx at that point.y-b=dydxx-a1. y=6x2+...
Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)*+1 3k Th...
A: The given series, ∑k=1∞(-1)k+13k
Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23
A:
Q: Find the volume of the solid obtained by rotating the region bounded by y = x2 + 2 and y = 4 - x² ab...
A:
Q: The solution of the Bernoulli's differential equation y + =y'x is: 1/y=-x+C (1/xy)3-x+C 1/(xy)^2 =-x...
A: The given differential equation is; y'+y/x =y2x
Q: Determine whether the sequence defined as follows has a limit. If it does, find the limit. (If an an...
A: Let {an} be a real sequence and L be a real number then limit of this sequence {an} = L iff an tends...
Q: Given f''(x)=−9sin(3x) and f'(0)=4 and f(0)=−1. Find f(π/4)=
A:
Q: 4. Determine whether the planes are between them. 2x – 3y + 4z = 5; x+ 6y + 4z = 3 parallel, perpend...
A: This question can be solved using the concept of angle between two planes.
Q: The function f(x,y) = 2x + 2y has an absolute maximum value and absolute minimum value subject to th...
A: The given function is; f(x,y)=2x+2y and the given constraint is ; 9x2-9xy+9x2=16.
Q: A rectangular document is to contain 100 square inches of print with a margin of 0.5 inch on each si...
A:
Q: Given f''(x)=−25sin(5x) and f'(0)=−5 and f(0)=1. Find f(π/4)
A: topic - integration
Q: determine the vatie 84 + 5C of 206 90 12
A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...
Q: Use Green's Theorem to calculate ( - sen(a))da + (2a + 3)dy, where C is the triangle with vertices A...
A:
Q: | 3te2t dt Answer:
A:
Q: Question 3: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x)...
A: The given function, fx=x2-2
Q: Compute the work required to stretch a spring from 7 to 13 cm past equilibrium, assuming that the sp...
A: Given query is to find the the work required.
Q: A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discon...
A:
Q: Given: C = 10 24° В a = 12 Find the following item (nearest whole number and degree). ZA = 102° 78° ...
A:
Q: Find the derivative of y with respect to t. y=t(ln2t)^(2)
A:
Q: II. For each of the following functions, find the indicated derivative using the definition. Show so...
A:
Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17, 31...
A:
Q: Find the in tervals on which f hure (il In creasing and decrensing Con cave uP and con cave down and...
A: The given question can be solved as shown in step2
Q: UQuestion 2| Differentiate each of the following functions with respect to x a) y = 3x b) f(x) = +5x...
A:
Q: Find the derivative of the function. S(2) = VE - 8E f (x) =
A: topic - derivative of a function
Q: 15 10 5 -6 -5 -4 -2 1 1 23 4 56 -5 -10 -15 termine the equation of the polynomial, f(z), of minimum ...
A:
Q: 00 4n + 15-n Untitled n = 1 5.5 5.5 Upda Determine whether the geometric series is convergent or div...
A: Topic:- sequence and series
Q: Assume that f is continuous and | f) dt 3 sin х — х сos x. 0, (a) Determine f(;n). (b) Find f'(x).
A:
Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) (1 + x)5 1 f(x) : (1+x...
A:
Q: Calculate the differential of the following function. Z = 2x³ex? + In(x+y²)
A:
Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...
A: Solution is written in below steps.
Q: Answer the following questions for the function f(x) = - 8x° - 36x? +240x – 11. ... a. Find formulas...
A: Topic = Derivative
Q: Consider the following sequence: (a,) = {n – n²} n-1 Use an+1 - an to show that the given sequence (...
A:
Q: Consider the following sequence: - {) +00 {an} 3n n=1 An+1 -to show that the given sequence {an} is ...
A: Explained below
Q: c) an (-1)" (4)" d) аn — 5 — п
A:
Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...
A:
Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].
A:
Q: 2r (1- lim
A:
Q: A. Find the derivatives of the following functions: 1. f(x) = (-x - 5)* 2. f(x) = (-x² - 4)-2
A:
Q: The vat shown in the accompanying figure contains water to a depth of xo = 1.6 m. Find the work requ...
A:
Q: (b) Given that = 3 in steps of 0.2, given that y = 4 at r = 2. dy = x+Vy. Use Euler's Modified Metho...
A: Given y'=x+yy(2)=4 , y(3)=? h=0.2 modiefied euler method is yn+1=yn+hfxn+h2 , yn+h2f(xn ,yn...
Step by step
Solved in 2 steps with 1 images
- Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n• In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value ofnthat ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 62. List the first five terms of the sequence. an=289n+53Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!n